Question

How do you solve 6 7/10 - 2 1/3?

Answer 1

Answer: 131/30

Step-by-step explanation:

When adding or subtracting fractions, it sometimes helps to make them improper fractions:

6 7/10 becomes 67/10 because 6*10+7 = 67, over 10.

2 1/3 becomes 7/3 because 2*3+1 = 7, over 3.

Now you make the two denominators the same by finding the least common factor between the two denominators:

The LCD of 10 and 3 is 30.

67/10 equals 201/30. They're the same fraction, just the first one is more simplified.

7/3 equals 70/30.

Now that the denominators are the same, you can easily subtract the two. Since you're not multiplying or dividing, the denominator of 30 remains the same. Just subtract the numerators.

201/30 - 70/30 = 131/30

Your answer cannot be simplified any more, but as a mixed number, your answer is 4 11/30.

Answer 2

Find the common denominator for 3 and 10 which is 30 now the denominator is 30 and what you do with one side you do to the other so 6 7/10 turns into
6 21/30 and 2 1/3 turns into 2 10/30 now subtract them so 6 21/30-2 10/30=
4 11/30